Topology of attractors and periodic points
Metadatos
Afficher la notice complèteEditorial
American Institute of Mathematical Sciences (AIMS)
Date
2024-10Referencia bibliográfica
Ortega Río,s R. & Ruíz Herrera, A. [doi:10.3934/cpaa.2024083]
Patrocinador
Spanish MICINN project PID2021-128418NA-I00Résumé
The dynamics of a dissipative and area contracting planar homeomorphism
were described in terms of the attractor. This was a subset of
the plane defined as the maximal compact invariant set. We proved that the
coexistence of two fixed points and an N-cycle produced some topological complexity:
the attractor cannot be arcwise connected. The proofs were based on
the theory of prime ends.